Jubilismic family: Difference between revisions
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Added 17-limit subgroup temperaments Tags: Mobile edit Mobile web edit |
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Scales: [[jubilismic10]], [[jubilismic12]] | Scales: [[jubilismic10]], [[jubilismic12]] | ||
=== Jubilife === | |||
There is a natural extension of jubilismic to the 2.3.5.7.17 subgroup, which tempers out [[85/84]] and [[120/119]], and identifies 7/5 with 10/7, 17/12 and 24/17 as the semioctave. | |||
Subgroup: 2.3.5.7.17 | |||
Comma list: 50/49, 85/84 | |||
Mapping: {{Mapping| 2 0 0 1 5 | 0 1 0 0 1 | 0 0 1 1 0 }} | |||
Optimal tunings: | |||
* WE: ~7/5 = 599.8903{{c}}, ~3/2 = 702.6008{{c}}, ~5/4 = 379.6441{{c}} | |||
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 702.5503{{c}}, ~5/4 = 379.4777{{c}} | |||
{{Optimal ET sequence|legend=0| 4, 8d, 10, 12, 22, 34d, 48 }} | |||
Badness (Sintel): 0.357 | |||
== Undecimal jubilismic == | == Undecimal jubilismic == | ||
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[[Badness]] (Sintel): 0.673 | [[Badness]] (Sintel): 0.673 | ||
=== Jubilee === | |||
Jubilismic temperament works on the [[No-thirteens subgroup temperaments|no-13s]] 17-limit subgroup very well, where the semioctave stands in for ~7/5, ~17/12, ~99/70 and their [[octave complement]]s. | |||
Subgroup: 2.3.5.7.11.17 | |||
Comma list: 50/49, 85/84, 99/98 | |||
Mapping: {{Mapping| 2 0 0 1 4 5 | 0 1 0 0 -2 1 | 0 0 1 1 2 0 }} | |||
Optimal tunings: | |||
* WE: ~7/5 = 599.8463{{c}}, ~3/2 = 702.9469{{c}}, ~5/4 = 379.5011{{c}} | |||
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 702.9274{{c}}, ~5/4 = 379.2350{{c}} | |||
{{Optimal ET sequence|legend=0| 4, 8d, 10e, 12, 22, 34d, 48 }} | |||
Badness (Sintel): 0.578 | |||
== Festival == | == Festival == | ||